LYAPOUNOV EXPONENTS AND LAW OF LARGE NUMBERS FOR RANDOM WALK IN RANDOM ENVIRONMENT WITH HOLDING TIMES

doi:10.1016/S0252-9602(09)60111-9

Abstract

Abstract:

In this article, the authors mainly discuss the law of large number under Kalikow's condition for multi-dimensional random walks in random environment with holding times. The authors give an expression to the escape speed of random walks in terms of the Lyapounov exponents, which have been precisely used in the context of large deviation.

Key words: random walk, random environment, Lyapounov exponents, law of large numbers, renewal structure

CLC Number:

60J10

MAO Ming-Zhi, HAN Dong. LYAPOUNOV EXPONENTS AND LAW OF LARGE NUMBERS FOR RANDOM WALK IN RANDOM ENVIRONMENT WITH HOLDING TIMES[J].Acta mathematica scientia,Series B, 2009, 29(5): 1383-1394.

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